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We introduce a framework for systemic risk modeling in insurance portfolios using jointly exchangeable arrays, extending classical collective risk models to account for interactions. Joint exchangeability is a more general probabilistic…

Risk Management · Quantitative Finance 2026-02-06 Daniel Gaigall , Stefan Weber

We develop a methodology for index tracking and risk exposure control using financial derivatives. Under a continuous-time diffusion framework for price evolution, we present a pathwise approach to construct dynamic portfolios of…

Mathematical Finance · Quantitative Finance 2017-05-31 Tim Leung , Brian Ward

To any inhibition-dominated threshold-linear network (TLN) we can associate a directed graph that captures the pattern of strong and weak inhibition between neurons. Robust motifs are graphs for which the structure of fixed points in the…

Neurons and Cognition · Quantitative Biology 2019-12-18 Carina Curto , Christopher Langdon , Katherine Morrison

This study delves into the intricate realm of risk evaluation within the domain of specific financial derivatives, notably options. Unlike other financial instruments, like bonds, options are susceptible to broader risks. A distinctive…

Risk Management · Quantitative Finance 2023-11-28 Shiva Zamani , Alireza Moslemi Haghighi , Hamid Arian

Temporal graphs are structures which model relational data between entities that change over time. Due to the complex structure of data, mining statistically significant temporal subgraphs, also known as temporal motifs, is a challenging…

Social and Information Networks · Computer Science 2021-10-05 Antonio Longa , Giulia Cencetti , Bruno Lepri , Andrea Passerini

Device-to-device (D2D) communication is a promising approach to efficiently disseminate critical or viral information. Reaping the benefits of D2D-enabled networks is contingent upon choosing the optimal content dissemination policy subject…

Information Theory · Computer Science 2019-04-08 Tengchan Zeng , Omid Semiari , Walid Saad , My T. Thai

Complex networks evolve and vary their structure as time goes by. In particular, the links in those networks have both a sign and a directionality. To understand their structural principles, we measure the network motifs, which are patterns…

Physics and Society · Physics 2023-06-28 Youngjai Park , Mi Jin Lee , Seung-Woo Son

The instability of financial system issues might trigger a bank failure, evoke spillovers, and generate contagion effects which negatively impacted the financial system, ultimately on the economy. This phenomenon is the result of the highly…

General Economics · Economics 2021-03-05 Andry Alamsyah , Dian Puteri Ramadhani , Farida Titik Kristanti

Network motifs are overrepresented interconnection patterns found in real-world networks. What functional advantages may they offer for building complex systems? We show that most network motifs emerge from interconnections patterns that…

Systems and Control · Computer Science 2014-11-21 Marco Tulio Angulo , Yang-Yu Liu , Jean-Jacques Slotine

This paper investigates how institutional learning and regional spillovers shape volatility dynamics in ASEAN equity markets. Using daily data for Indonesia, Malaysia, the Philippines, and Thailand from 2010 to 2024, we construct a…

Econometrics · Economics 2025-11-26 Junlin Yang

In complex systems, groups of interacting objects may form prevalent and persistent spatiotemporal patterns, which we refer to as motifs. These motifs can exhibit features that reveal how individual objects interact with one another.…

Biological Physics · Physics 2025-12-12 Ying Chen Lim , Rakesh Das , Tetsuya Hiraiwa , N. Duane Loh

We review recent progress in modeling credit risk for correlated assets. We start from the Merton model which default events and losses are derived from the asset values at maturity. To estimate the time development of the asset values, the…

Risk Management · Quantitative Finance 2018-03-02 Andreas Mühlbacher , Thomas Guhr

Many time series, particularly health data streams, can be best understood as a sequence of phenomenon or events, which we call \textit{motifs}. A time series motif is a short trace segment which may implicitly capture an underlying…

Machine Learning · Computer Science 2025-05-26 Josephine Lamp , Mark Derdzinski , Christopher Hannemann , Sam Hatfield , Joost van der Linden

Temporal networks are commonly used to represent systems where connections between elements are active only for restricted periods of time, such as networks of telecommunication, neural signal processing, biochemical reactions and human…

Data Analysis, Statistics and Probability · Physics 2011-11-15 Lauri Kovanen , Márton Karsai , Kimmo Kaski , János Kertész , Jari Saramäki

Multivariate time series forecasting is essential in domains such as finance, transportation, climate, and energy. However, existing patch-based methods typically adopt fixed-length segmentation, overlooking the heterogeneity of local…

Machine Learning · Computer Science 2026-01-06 Kuiye Ding , Fanda Fan , Chunyi Hou , Zheya Wang , Lei Wang , Zhengxin Yang , Jianfeng Zhan

It is of great significance to identify the characteristics of time series to qualify their similarity. We define six types of triadic time-series motifs and investigate the motif occurrence profiles extracted from logistic map, chaotic…

Physics and Society · Physics 2022-08-23 Wen-Jie Xie , Rui-Qi Han , Wei-Xing Zhou

Networks are a fundamental tool for modeling complex systems in a variety of domains including social and communication networks as well as biology and neuroscience. Small subgraph patterns in networks, called network motifs, are crucial to…

Social and Information Networks · Computer Science 2018-01-08 Ashwin Paranjape , Austin R. Benson , Jure Leskovec

Cascading failures represent a fundamental threat to the integrity of complex systems, often precipitating a comprehensive collapse across diverse infrastructures and financial networks. This research articulates a robust and pragmatic…

Adaptation and Self-Organizing Systems · Physics 2024-06-28 Karan Singh , V. K. Chandrasekar , D. V. Senthilkumar

Spatio-temporal network dynamics is an emergent property of many complex systems which remains poorly understood. We suggest a new approach to its study based on the analysis of dynamical motifs -- small subnetworks with periodic and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Valentin P. Zhigulin

Motivated by applications in social network community analysis, we introduce a new clustering paradigm termed motif clustering. Unlike classical clustering, motif clustering aims to minimize the number of clustering errors associated with…

Social and Information Networks · Computer Science 2017-01-31 Pan Li , Hoang Dau , Gregory Puleo , Olgica Milenkovic
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